Add and subtract fractions and mixed numbers with appropriate common denominators.
Add or subtract with a shared denominator
Problem
Calculate \(3/8~+~2/8\) and give the result in simplest form.
Big Picture
What this problem is really about
Both addends are already measured in eighths, so the pieces have the same size. We’ll keep that unit, add only the counts in the numerators, and then check whether the resulting numerator and denominator share a factor. The denominator does not double because we are combining eighth-size pieces, not changing their size.
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